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Finding the Fourth Proportional to 23,897, 35,850.36 and 10,046

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Solution

The fourth proportional to 23,897, 35,850.36 and 10,046 is: 15,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897 : 35,850.36 = 10,046 : x
  2. Step 2: Convert to fraction form
    23,897/35,850.36 = 10,046/x
  3. Step 3: Cross multiply
    23,897x = 35,850.36 × 10,046
  4. Step 4: Simplify right side
    23,897x = 360,152,716.56
  5. Step 5: Solve for x
    x = 360,152,716.56/23,897
  6. Step 6: Final answer
    x = 15,071.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.